AP-domains and unique factorization.
Let \(R\) be a domain and \(\pi \in R\) an irreducible element which is not prime. The authors construct a domain \(T \supset R\) such that \(\pi\) is (up to associates) the only irreducible element of \(T\) but is not a prime element of \(T\).
scientific article; zbMATH DE number 2078849